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The html of your example URL (dickblick) is hard to follow, because there's so much of it, but you'll find that there's only one form on the page. (okay, there's 2, one for account stuff, one for the cart stuff)

If you use something like the above, then on your php, you can check each checkbox to see if it's present and checked, if so, get the quantity from it's associated textbox and add to the cart.

the point of a form is to invoke some program that will (usually) inspect the request or session to see what the user did/wants. Given that, you only need to get the program rolling by submitting the form. Once that's done, take over from the program you've invoked.

Its like this post, I'm not sending each word individually, I'm sending a bunch to you and letting you sort it out